Question

A sum of 7,000 is divided among A, B, C in such a way that shares of A and B are in the ratio 2 : 3 and those of B and C are in the ratio 4:5. The amount received by C is
(b) 2,800
(c) 3,000
(d) 3,900
(a) 2,600
with picture of explanation​

Answer 1

$\textbf{Answer}$

Total money = Rs 7000

[tex] \textbf{Share of A and B = 2 : 3}Share of A and B = 2 : 3

Suppose,

Share of A is 2x ----------(1)

=> Share of B = 3x -------(2)

We are also given that,

\textbf{Share of B and C = 4 : 5}Share of B and C = 4 : 5

Above ratio means, if B gets 4 parts,then C gets 5 parts.

So if B gets 3x parts,

Share of C = (5/4)(3x)

Share of C = (15x/4) -------(3)

Since total sum = 7000

By using statements (1), (2) & (3),

2x + 3x + (15x/4) = 7000

=> 5x + 15x/4 = 7000

=> (20x + 15x) = 4 × 7000

=> 35x = 28000

=> x = 28000/35

=> x = 800

=> \textbf{Share of A = 2x = Rs 1600}Share of A = 2x = Rs 1600

=> \textbf{Share of B = 3x = Rs 2400}Share of B = 3x = Rs 2400

=> \textbf{Share of C = 15x/4 = Rs 3000}Share of C = 15x/4 = Rs 3000

\textbf{Hope It Helps}Hope It Helps

\textbf{Thanks}Thanks